The Simplest Math Problem No One Can Solve - Collatz Conjecture
Рет қаралды 39,856,365
2 жыл бұрынThe Collatz Conjecture is the simplest math problem no one can solve - it is easy enough for almost anyone to understand but notoriously difficult to solve. This video is sponsored by Brilliant. The first 200 people to sign up via brilliant.org/veritasium get 20% off a yearly subscription.
Special thanks to Prof. Alex Kontorovich for introducing us to this topic, filming the interview, and consulting on the script and earlier drafts of this video.
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References:
Lagarias, J. C. (2006). The 3x+ 1 problem: An annotated bibliography, II (2000-2009). arXiv preprint math/0608208. - ve42.co/Lagarias2006
Lagarias, J. C. (2003). The 3x+ 1 problem: An annotated bibliography (1963-1999). The ultimate challenge: the 3x, 1, 267-341. - ve42.co/Lagarias2003
Tao, T (2020). The Notorious Collatz Conjecture - ve42.co/Tao2020
A. Kontorovich and Y. Sinai, Structure Theorem for (d,g,h)-Maps, Bulletin of the Brazilian Mathematical Society, New Series 33(2), 2002, pp. 213-224.
A. Kontorovich and S. Miller Benford's Law, values of L-functions and the 3x+1 Problem, Acta Arithmetica 120 (2005), 269-297.
A. Kontorovich and J. Lagarias Stochastic Models for the 3x + 1 and 5x + 1 Problems, in "The Ultimate Challenge: The 3x+1 Problem," AMS 2010.
Tao, T. (2019). Almost all orbits of the Collatz map attain almost bounded values. arXiv preprint arXiv:1909.03562. - ve42.co/Tao2019
Conway, J. H. (1987). Fractran: A simple universal programming language for arithmetic. In Open problems in Communication and Computation (pp. 4-26). Springer, New York, NY. - ve42.co/Conway1987
The Manim Community Developers. (2021). Manim - Mathematical Animation Framework (Version v0.13.1) [Computer software]. www.manim.community/
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Special thanks to Patreon supporters: Alvaro Naranjo, Burt Humburg, Blake Byers, Dumky, Mike Tung, Evgeny Skvortsov, Meekay, Ismail Öncü Usta, Paul Peijzel, Crated Comments, Anna, Mac Malkawi, Michael Schneider, Oleksii Leonov, Jim Osmun, Tyson McDowell, Ludovic Robillard, Jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Marinus Kuivenhoven, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal
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Written by Derek Muller, Alex Kontorovich and Petr Lebedev
Animation by Ivy Tello, Jonny Hyman, Jesús Enrique Rascón and Mike Radjabov
Filmed by Derek Muller and Emily Zhang
Edited by Derek Muller
SFX by Shaun Clifford
Additional video supplied by Getty Images
Produced by Derek Muller, Petr Lebedev and Emily Zhang
3d Coral by Vasilis Triantafyllou and Niklas Rosenstein - ve42.co/3DCoral
Coral visualisation by Algoritmarte - ve42.co/Coral
@k.pacificnw02134 2 жыл бұрын
Everyone here: "...but just a maaaaybe I'll be the one to solve it."
@TheGreekGodOfWallStreet 2 жыл бұрын
"I could write a computer program to try and solve it". Because I'm sure nobody has tried that before 😪
@evilkillerwhale7078 2 жыл бұрын
You can actually instantly solve for half of all numbers. If all numbers up to an odd N works, (n+1)/2
@jrbros2371 2 жыл бұрын
I too thought i could solve it :D
@systim30 2 жыл бұрын
What is there to solve? There is nothing to solve
@jrbros2371 2 жыл бұрын
@@rabiebabies7812 0 is not positive but it forms a loop. Its also not negative but no number ends up at zero so it is independent loop of itself
@Yihtc 2 жыл бұрын
“Pick a number” Me:Fou- “Seven? Good choice” Me:but I-
@rachelx04 2 жыл бұрын
I said 4, I usually say 3 but I said 4 😂
@palindromia130 2 жыл бұрын
He said seven because seven is more likely to be chosen lmao
@ArcFenixDelacroix 2 жыл бұрын
I think Im the only one who chose 7
@vor0g 2 жыл бұрын
Only reason I'm not liking is bc tbe lile count is at 69
@samirh2758 2 жыл бұрын
I didn't choose a number at all because no one can make me do math.
@user-ik4so3yp2e Ай бұрын
I love how he makes us think that he is the world's greatest mathematician by showing us his picture when saying that, but then shows the other half of the picture.
@JPcommunicates Ай бұрын
Well, that isn't even a person who solve the task. It's a computer programme which tries to explain something what isn't actually relevant.
@AlbertSatnoianu 27 күн бұрын
lol
@user-oq5gn6br1u 16 күн бұрын
😂 lol
@MathemBrathlem 8 күн бұрын
W Editor for the humor
@HarmonRAB-hp4nk 4 күн бұрын
(3x) +1 is correct.. ya cant just do +x they'd require a parathesis so, (3Ax)+1B ... answer is 3AB or 3A 1B ? algebra is killing me lol to long ago .... lol
@AshenElk 8 күн бұрын
What blows my mind is when this stuff is demonstrated graphically the patterns become easy to see with my eyes. I don't know why maths is so beautiful.
@jokes.on.u 2 жыл бұрын
Teacher: Why did you not answer the questions on your test. Me: Because the Math is not ripe enough for me to answer these questions
@anyaburke6636 2 жыл бұрын
facts
@lordsiomai 2 жыл бұрын
Imma use this
@scottmurphy248 2 жыл бұрын
@@lordsiomai be honest, no you won't
@compszn 2 жыл бұрын
@@anyaburke6636 its 6
@krisha8430 2 жыл бұрын
@Human Kind its already a 1000 We can make it 2000??
@grimaffiliations3671 2 жыл бұрын
Me: Where should we eat? Girlfriend: Mathematics is not yet ripe enough for such question
@aashsyed1277 2 жыл бұрын
Noo
@segmentsAndCurves 2 жыл бұрын
I love your girlfriend. Wait, no, it's not what you think it is!!!
@srijanpanicker5395 2 жыл бұрын
LMAO🤣🤣🤣
@rana8440 2 жыл бұрын
😝
@Pikachu-Gaming1764 2 жыл бұрын
Lol
@shmuelman 3 ай бұрын
Certainly one of the finest mathematical videos on KZfaq.
@__cypher__ 11 күн бұрын
Wait ... What?!
@xninja2369 11 күн бұрын
3Blue1Brwon be like ? 🫥
@CourtneyIsLovely 2 ай бұрын
“Pick a number, any number” Uhh… 7? “7? Good choice!”
@Juggeraufesser 4 күн бұрын
Same
@marcokapusta3843 2 жыл бұрын
This math problem is actually like my trading portfolio, I can start with any number but end at $ 1
@JeffMTX 2 жыл бұрын
you too? :)
@luca6819 2 жыл бұрын
I tried to remove the eyelash on the display 🤭
@davidbesant 2 жыл бұрын
There's that damn eyelash on my screen again!
@RetroFuel 2 жыл бұрын
@@luca6819 .same lol
@Hoshino_Channel 2 жыл бұрын
@@luca6819 You're using youtube in lightmode? ;o
@cosmicnomad8575 2 жыл бұрын
I absolutely love how mathematicians always find the most random things to debate over!
@soumyadityachakraborty2457 2 жыл бұрын
ridiculous too
@oreziopancrazio3685 2 жыл бұрын
I totally agree. What a waste of time
@christloen4077 2 жыл бұрын
Not a waste of time. If you can find this solution, probably there is something you can achieve and get.
@oreziopancrazio3685 2 жыл бұрын
@@christloen4077 No way
@christloen4077 2 жыл бұрын
In your mind
@salahsedarous7616 3 ай бұрын
You can accelerate the conversion by allowing division by 3 beside 2. I noticed that in my own limited search. Fascinating stuff.
@DeadKarlisAlive 2 ай бұрын
I’ve always wondered why mathematicians only look at the patterns of the ’hailstone integers’ with this problem. Maybe the pattern is found in the numbers that are skipped after doing the equation either with 1 number or after a million numbers
@agentkp4574 2 жыл бұрын
Mathematicians: Dont waste your time on this problem 20.7 million people: YES
@davidmedina7721 2 жыл бұрын
Just cuz you said that I'm going to code a program that runs through all posible combinations on scratch
@apbe2q35 2 жыл бұрын
3 years year old me : what is maltiplikaton?
@Seeker-dx1gj 2 жыл бұрын
Ok
@BoEatsApples 2 жыл бұрын
13 Million*
@Penguins459 2 жыл бұрын
more
@ghostphalanx 2 жыл бұрын
Whoever created all those graph animations is an absolute master in after effects expressions
@pratanakangsadal521 2 жыл бұрын
Amen.
@gn4sty731 2 жыл бұрын
BR?
@GamingWithTimmy0 2 жыл бұрын
The thumbnail equals 1 cause 3x_ is 3x nothing so if I did that it would be 0 and if I plus the 1 it = 1
@GamingWithTimmy0 2 жыл бұрын
Math
@cirque1783 2 жыл бұрын
BY "NO ONE" : He meant about Americans cause he himself is a american who dont knows anything about the outside world .
@ThatOneKat511 15 күн бұрын
15:02 why negative numbers have three loops? Well, use positive numbers but change the function from 3x+1 to 3x-1 and you’ll get the same three loops.
@mjh3067 8 күн бұрын
I am not great at math, but I have no idea why I am so fascinated by these videos and topics
@Naurik 2 жыл бұрын
Pretty much every subject in school is really interesting if I’m not forced to learn it
@EnriqueLaberintico 2 жыл бұрын
History of the entire world, I guess convinces me.
@octaviovilchez3096 2 жыл бұрын
Pretty much every subject in university is really interesting if I"m not forced to learn it
@alexmangorove 2 жыл бұрын
School in a form of forced education kills interests and produces stupider people. Coersion always makes things worse.
@seanallen8828 2 жыл бұрын
English, grammar
@benfulford3943 2 жыл бұрын
Sorry to hear that you did not have good teachers. I was fortunate to go to a great school that had many good teachers that were able to teach stuff like this in interesting and engaging way. It was the teachers that failed you not the environment where you are 'forced to learn'.
@Hanyamanusiabiasa 2 жыл бұрын
Me : "That's interesting puzzle, maybe I can solve it" Me 22 minutes later : "oh."
@Dizzy00001 2 жыл бұрын
Lol
@theultimatetime8029 2 жыл бұрын
Same I was like I'm gonnna guess a random number and try to do it..but 2⁶⁰ is really a big numbers they tried
@mjzudba5268 2 жыл бұрын
@@theultimatetime8029 well, Derek (the narrator in the video) did say that 2 to the 60 is nothing compared to the other numbers tried in Polya's conjecture. The counterexample which disproved Polya's conjecture was 1.845 × 10^361, an immense number. Still, 2 to the 60 is BIG.
@theultimatetime8029 2 жыл бұрын
@@mjzudba5268 yes ofcourse
@khuetranxuan8218 2 жыл бұрын
@@theultimatetime8029 try 70!,it's bigger or even 2^70!
@priordan80 Ай бұрын
The change of 3x+1 from branches pattern to 3x+1 on the -y axis where the branch pattern changes to a bar chart is reminiscent of the probability scenario on your video about the stock market and demonstrated with your ballbearing prop, also on -y axis 4,3,1 is viewed eventually as a singular number commencing the bar graph pattern.
@kelvinedits9471 25 күн бұрын
I wanna know who edit his videos.... The hard work ❤ ! We appreciate you bro !!
@isaacpalmer1195 2 жыл бұрын
Mathway: “Am i a joke to you?” Photomath: “Answer the question.”
@cryptedmage9739 2 жыл бұрын
Lol wassup homie
@dino_tokic8884 2 жыл бұрын
Lmaoo
@WestExplainsBest 2 жыл бұрын
Ugh those programs are virtual math teachers worst nightmare.
@leebydeeby 2 жыл бұрын
My calculus professor just introduced this conjecture to us last week, and ever since then I've been shamelessly addicted to just bringing up a random number generator for a starting point and wasting away the hours.
@astronautboynr2018 2 жыл бұрын
nerd
@livinglogically8180 2 жыл бұрын
Atleast find better ways of procrastination
@r-a-kralphandkoto2413 2 жыл бұрын
@Hence Forgot bricks bit to though to bite on man ill rather have alloyed steel
@Mr.Human69 2 жыл бұрын
Ez Answer Is 9 I was Doing my math Homework Bruh
@sera_makyuri 2 жыл бұрын
You have a great teacher if they motivated you to spend hours on this!
@HemanthHR-fi5rq 2 ай бұрын
I’m glad I found this channel. Amazing quality content ❤️🙌
@richardfellows5041 Ай бұрын
Consider the following. 1. there are an infinite number of 2^n numbers. 2. Consider an algorithm that selects a random number and tests it against whether it is a 2^n number. And if so applies the second half of the 3n+1 problem, in which case it will always collapse to the 4 -2-1 sequence. 3. What is the probability that the random number generator will never hit on one of the 2^n numbers. 4. I contend that the probability is zero.
@jmodified Ай бұрын
It's not a random process. Consider that 3x-1 has identical statistics but multiple loops.
@sherimcmahon1410 3 күн бұрын
That just means it selects a number that is guaranteed to go to 1. Says nothing about all the other random numbers it can generate.
@shadyceddy6509 2 жыл бұрын
Fun fact: We are not mathematicians but we got interested by this.
@amirpakravan4389 2 жыл бұрын
People that know math are are mathematicians and also if thay do math they are mathematicians
@justinerek779 2 жыл бұрын
ikr
@rayanhaq8552 2 жыл бұрын
I am
@motherkhapudang3938 2 жыл бұрын
Hmmm
@fnxrz7513 2 жыл бұрын
@@amirpakravan4389 shut up u ruin the vibe
@changolord93 2 жыл бұрын
-showing his own face “One of the greatest mathematicians” Dudes pops out of nowhere “Mr. Tao” Lol you had me at the first half not gonna lie
@veramentestanco 2 жыл бұрын
He had me too! Brilliant!
@anonamemous6865 2 жыл бұрын
He had me too
@DrakyHRT 2 жыл бұрын
@samridh sood infinity is a number, any number, or all numbers should i say, and no, this is not the problem with this conjecture.
@irenegold3969 2 жыл бұрын
LOL
@lunatik4265 2 жыл бұрын
@samridh sood I think you´re on to something. The Fields Medal is in reach!
@alexanderstohr4198 6 күн бұрын
15:50 - the widening of the chart to the right gives a quite interesting pattern of curves that are looking like it were sinus and/or of parabolic definition. also note that it looks like about the left 1/4 width of the area forms a stripe that is more or less avoided by dots.
@aladpresspays 27 күн бұрын
It always and ultimately comes down to one or shall I say come up to one... the one and only... wherever you'd dig you'll find the one. Just need to open your heart following your eyes opening.
@Liur. 2 жыл бұрын
Mathematicians: *_cries in proofs_* Scientists: *_laughs in null hypotheses_*
@Liur. 2 жыл бұрын
@@Sinaloabricks hypotheses is the plural 🙄
@er00ic 2 жыл бұрын
@@Sinaloabricks Who says that we have only the one hypothesis?
@andrewcramer9200 2 жыл бұрын
Statistician: *does both in bipolarity*
@paxhumana2015 2 жыл бұрын
Is not mathematics merely just a part of science anyway?
@paxhumana2015 2 жыл бұрын
@@andrewcramer9200 Bipolar Person: "Finally, someone DOES understand me"!
@kugelblitz7946 2 жыл бұрын
i wrote this comment to appreciate that those graphs were not just random. There were exact and to the scale.
@itismethatguy 2 жыл бұрын
Ikr
@Sintinium 2 жыл бұрын
Ikr I wonder how many days or months it took to build all of those. Unless he wrote a program for it then maybe a day or two
@EpicVideos2 2 жыл бұрын
@@Sintinium of course he wrote a program for it but I expect the developer probably spent at least 2 weeks on making it.
@AxxLAfriku 2 жыл бұрын
You dislike the stuff that gets uploaded by my fingers clicking upload? Are you just a h8er boi? I say see you l8er boi. Don't watch the stuff that gets uploaded by my fingers clicking upload anymore. Your dislikes are damaging my good good GOOD reputation. I am a superstar, dear kd
@kugelblitz7946 2 жыл бұрын
@@Sintinium I think he paid some small company to do that, a single person is unlikely to do that
@adw1z Ай бұрын
For those wondering, Alex K. is the narrator and voice behind the Quanta Magazine’s stunning video on the Riemann Hypothesis. This is like a collab of dreams!
@wtcodingproductions 2 ай бұрын
I've created two simple C++ programs that solve the multiplication of binomials such as (3x + 1), and am looking to do more. Thank you for this unique & interesting concept. College Calculus major.
@adamrozek5782 29 күн бұрын
Isn't 3x+1 equal to 3x=-1 so X=-1/3 ? Idk what's the problem here btw 😂
@prasadbhalerao8556 21 күн бұрын
@@adamrozek5782Lol this shows the whole video went over your head What they are trying to solve is , They want to find a number which does not go in 4 2 1 loop
@prasadbhalerao8556 21 күн бұрын
@@adamrozek5782Also it's not a 3x+1=0 😂
@javiersolis2993 2 жыл бұрын
The animation is everything here.
@milkshake7180 2 жыл бұрын
@DON'T stfu
@reallemming1dago..888 2 жыл бұрын
@DON'T stfu bi-
@WillCrewMusic 2 жыл бұрын
You both just fell for his trap lmfao
@milkshake7180 2 жыл бұрын
@@WillCrewMusic i didnt even read the pfp the text is too small to see LMAO
@everywhereman9003 2 жыл бұрын
@DON'T IM GONNA SAY THE N WORD
@demensclay6419 2 жыл бұрын
A big shoutout ot the graphics department for making this 100% more understandable!
@gniewko123456 Жыл бұрын
a big shout down to yoy that you were'nt able to get such a simple equal...
@josiahjray Жыл бұрын
I really hope this is satire 🤣🤣
@gniewko123456 Жыл бұрын
@@josiahjray baited :D
@josiahjray Жыл бұрын
@@gniewko123456 Hope so lol
@anndyarguedo4453 Жыл бұрын
Ah yes, 999 likes
@Guywiththetypewriter 2 ай бұрын
Old video but heres recontextulistion thats pretty neat. Dividing by 2 bit shifts binary numbers to the right. The 4,2,1 pattern is 100 010 001 Hence, a hamming weight (number of non 0 bits in binary number ) of 1 will lead to the 4,2 ,1 pattern, no matter how large the number is. This is the same as the any number of 2^n observation but bear with me. Multiplying by 3 in binary is the same as adding the binary value of itself but bit shifted left by 1(and hence you have this beautiful thing where the bit shift left is the odd process, the bit shift right is the even process). E.g 101 (5) multiplied by 3 is 0101 + 1010 1111 An odd multiple 3 added to by 1 will always either leave the hamming number the same (if the least significant run of ones is size 1 : e.g 010001 + 1 = 010010 Or Will reduce the hamming weight by n-1 where n is the size of rhe least significsnt run of 1s. E.g 011(hamming weight of 2) + 1 / = 100 (hamming weight of 1, hence 2-1 reduction has occured). New runs of 1's in a 3 multiplication will be isolated with size 1 max. Dividing an odd number by 2 will move the least significant run of ones to the least significant bit. This will trigger a termination eventually (with delays only guranteeing a larger reduction in hamming weight) ( not proven) any individual 1s end up in a run of ones before the +1 termination step. Hence, whilst hamming weight may increase temporarily, the overall pattern caused by the +1 termination and the limitation of of new 1 bits tending towards runs of ones, the overall hamming weight will reduce during iteration of the colletz conjecture processes. Hence, the hamming weight tends to 1... guranteeing the 4,2,1 loop. Its not quite a proof. But christ i feel like its close 😅
@clutchmatic 2 ай бұрын
I like this one. My version was to argue that despite how large the number gets, application of the process results in the number going back to previously checked numbers and everything goes down to 4-2-1, so the conjecture must be true for any natural number
@kinetik9197 Ай бұрын
how long did this take
@Guywiththetypewriter Ай бұрын
@@kinetik9197 how u mean
@jenniferzeng5735 14 күн бұрын
Wow …. This is actually really smart
@BlackHayateMX 8 күн бұрын
You know, I'm not an expert or anything on mathematics but I'm a programmer so... this sounds like a very solid proof to me
@AndresFirte 3 ай бұрын
Judging from the comments, the Collatz Conjecture could probably have more distinct proofs than the pythagorean theorem! And all of them from engineers, programmers, computer scientists, and amateur physicists with no formal mathematics background! Wonderful!
@jmodified 3 ай бұрын
Not so distinct though. At least 80% of the "proofs" are "Over a given number of steps, the odds of the sequence going down is higher than the odds of it going up". Most of the rest are "It has to hit a power of two eventually".
@AndresFirte 3 ай бұрын
@@jmodified oh yeah, and let’s not forget the third kind: just look at the last digit, it works for 1,2,3,4, … 8,9. And since every number has those numbers as last digits, it must work for all of them too!
@jmodified 3 ай бұрын
@@AndresFirte Yes, I forgot that one. I think those three cover at least 99%.
@XCC23 3 ай бұрын
The video: "This seems like a really easy problem which is why a lot of mathematicians are curious about it, since it's actually insanely hard" Laymen watching this video: "Pfft, this seems like a really easy problem" Almost like that was why it was interesting in the first place
@DasSkelett 2 жыл бұрын
Your "one of the world's greatest living mathematicians" joke totally killed me.
@lukelively8380 2 жыл бұрын
I was looking for this comment lol
@HungryTacoBoy 2 жыл бұрын
Same here. I thought it was very clever.
@cortnetisjustbetter 2 жыл бұрын
* You're , btw I am better than you
@MightyHashBrown 2 жыл бұрын
@@cortnetisjustbetter not you’re but ok
@Sleepy_Joe 2 жыл бұрын
I immediately knew this would be in the comments as well lol.
@nimamaster6128 2 жыл бұрын
The fact that this is the basis to making an organic shaped coral mesmerized me.
@ShatteredCelestial 2 жыл бұрын
wait really? lmao
@shibe6181 2 жыл бұрын
Wow 4th
@cristianrivas4606 2 жыл бұрын
Can we not use decimals?
@Arthurgoldlizard 2 жыл бұрын
it grows, makes an unpredictable, chaotic but somewhat beautiful image, and then inevitably falls back down to 1. like life and death cycle.
@artificialintelligenceplus1321 2 жыл бұрын
Found the Mathematical Phenomenon A very interesting channel - " Artificial Intelligence plus lottery"
@libbydaddy8610 7 күн бұрын
How'd I miss this program?! Love this stuff
@devangbajpai8608 3 ай бұрын
If we try the polynomial 3x + 1 for negatives then we will be stuck in a loop of -7 or -1 everytime for any negative integer. Try this too!
@MrScientific 2 жыл бұрын
Nice work Soviets. You got me.
@HottestBrownMan 2 жыл бұрын
Hitler be like :
@akshatvikramsingh8293 2 жыл бұрын
@@HottestBrownMan I was watching this video without signing in, but signed in just to like your comment buddy.
@vigilantcosmicpenguin8721 2 жыл бұрын
The Cold War won't truly be won until the Collatz Conjecture is resolved.
@HottestBrownMan 2 жыл бұрын
@@akshatvikramsingh8293 thanks mate.
@ultramb6206 2 жыл бұрын
Ngl i hate your facebook page lol
@CrimsonRegalia 2 жыл бұрын
"What do you do for a living?" Mathematician: "I am studying 3x+1."
@anunknownperson4018 2 жыл бұрын
havent watch the whole video but 3x+1 is impossible to solve bc it has infinite solutions??
@vector1213 2 жыл бұрын
Big maffs
@fanaticjay3825 2 жыл бұрын
no one not even no one me: 3x+1 equals 1 because 3x nothing is 0 amd + 1 is 1
@Floorlicker2000 2 жыл бұрын
When I saw that picture I was like it’s obviously 4x I disagree
@HaaKaaf 2 жыл бұрын
@@fanaticjay3825 bruh what
@oriongurtner7293 7 күн бұрын
I did a bit of mind-numbing study into this problem and the Twin Prime Conjecture and found some surprising intersections, mostly in how prime numbers interact with each other to disperse composite numbers throughout the number line Sadly it doesn’t answer either problem, but it does provide some insight into how both conjectures might be solved, or at least how they both can’t be solved And it’s really not all that confusing, it all comes down to primes greater than 3 (and their respective composites) are all +/-1 of all the multiples of 6, and how the composites are all in a +/-1 position based on whether their factors were the same polarity or opposite of each other And, well, the non-triple evens do exactly the same thing, they just also include the p>3 group in the factors, which is where the 3n+1 comes into play, as those are the numbers you encounter upon using that function (and the n/2 part as well) Notably: that does NOT include triples, as those cannot be +/-1 of each other, and as such the only triples you’ll encounter are the ones you start with in the case of odd triples, or the initial halving-chain for even triples Fun stuff, very little use in it but boy is it fascinating 🙂
@darthenx2585 2 жыл бұрын
The amount of graphic work that had to be done for this video is insane.
@chronical 2 жыл бұрын
Exactly what i was thinking, i was like man props to whoever worked on this video
@peterh222 2 жыл бұрын
Try a Captain Disillusion video ... And he does those all himself
@markjohnson7508 2 жыл бұрын
Really.. wow. Entropy maybe
@josefwakeling7103 2 жыл бұрын
@@peterh222 *disillusion
@birchthebirch4593 2 жыл бұрын
Listen ...don't look
@whosnico4669 2 жыл бұрын
him: "pick a number, any number." me: "eight.." him: "seven? good choice!"
@sarahsanchez150 2 жыл бұрын
5... 😭😭
@KratonWolf 2 жыл бұрын
Me: 0. Him: ok, if it's odd, × 3 + 1, if even, ÷ 2 Me: I think you just broke your calculator.
@savathunthewitchqueen8299 2 жыл бұрын
@@KratonWolf yeah. 0 really isn’t even or odd, so your just stuck
@adcgdsin9320 2 жыл бұрын
@@savathunthewitchqueen8299 and even if you do plug in zero to 3n+1, you go back to one.
@iteratedofficial 2 жыл бұрын
Ikr... I picked 4...
@nikolaifalk803 2 ай бұрын
I was tought more maths from this video than any of my classes
@aussieraver7182 Күн бұрын
3:01 Thats what scares me the most. Graphically representing a number that dramatically goes so high, the animation/graph becomes incomphrehensible and you have a mini panic. I get thay alot working in 3D game engines. There must be a phobia for it. Such as using Google Earth, and zooming out all the way. Ahhhhhhhhhh!
@parkiel54 2 жыл бұрын
Oh my god, this poor animator. That is a serious amount of dedication. Looks fantastic!
@CoreDeck 2 жыл бұрын
i was just gonna say that! Amazing work by the editor.
@remenyo 2 жыл бұрын
It seems like it is made by the same software that 3b1b uses.
@user-xf6ox6zx4w 2 жыл бұрын
Amajing
@danielrasheedi 2 жыл бұрын
@@remenyo what is it??
@MehtabSinghEdhan 2 жыл бұрын
i generated these graphs with python matplotlib, and then save the changing graphs for value of x, in an image sequence, then played them in premiere pro, voila..no animation needed for graphs and bar graphs 😁you can generate graphs with python
@parvizsattorov2411 2 жыл бұрын
Looks like a good formula for generating Mountains in a virtual environment.
@SparinglyIsDumb 2 жыл бұрын
Ye
@kalucardable 2 жыл бұрын
that's how they make roller coaster rides
@mosab_faozi 2 жыл бұрын
Perlin noise: am I a joke to you?
@-morrow 2 жыл бұрын
not really, mountains aren't created by random processes.
@bmwheel1263 2 жыл бұрын
If you use a decimal the number will go for ever as eg: 1.23 you would x3+1 =4.69 4.69x3+1 = 15.7 the decimal number will always be multiplied by 3 leavening you with a always odd decimal. If you start with an even decimal the decimal will keep getting divided by 2 until the decimal meets 1 then it’s will continue to rise. Adding a decimal is a way to bypass the number having to turn even every time you times the number by 3 and add 1. You are welcome for me solving it.
@Fraber87 18 күн бұрын
I have noticed that the numbers that have the most difficulty in going down to 1 are those that precede an even number with the characteristic of repeatedly decaying into an even number many times in a row (i.e. those that get to 1 more easily). Example, the even number below decays several times repeatedly into an even number, easily arriving at the number 1 (as do all the numbers belonging to the group 2x2x2x2x2x2x2): 64 ---> 32, 16, 8, 4, 2, 1 Both the number 63 (the previous one) and 62 (the even number before 64) both have extreme difficulty going down to 1, so the numbers preceding 64 are in the opposite condition to that of 64 (which instead decays very easily to 1, without ever rising upwards). So, if I choose the number 2048 ( = 2x2x2x2x2x2x2x2x2x2), I assume, based on the above, that 2047 and 2046 decay to 1 very slowly (having many ups and downs).
@frantisekvrana3902 6 күн бұрын
16:00 I find it very interesting that the number of perfect squares within the first n numbers seems to be square root of n. As a way to prove or disprove it, I did only a bit of thinking. In order to escape the Collatz conjecture, a number's descendants would have to never be a power of 2. On reaching a power of 2, the numbers slide back down to 1. Additionally, in order to appear on another number's sequence, a number needs to either be even and 3n+1, or be whole and (3n+1)/2
@Yextiny 2 жыл бұрын
"This math is weird because of math. We can't do enough math to solve the math - there's just too much math!"
@holdontoyourwig 2 жыл бұрын
You could start by calling it MATHS
@user-lg9cf4sw4x 2 жыл бұрын
my dumbass brain is quaking
@001100AAAEA 2 жыл бұрын
Pretty much lol
@babydriver8134 2 жыл бұрын
Weapons of Math Instruction?
@bujharvard9313 2 жыл бұрын
@@holdontoyourwig Unless he's British, why should he?
@xTANNA3 2 жыл бұрын
Me: “tries to do it in negative” “Gets in a loop anyways”
@xTANNA3 2 жыл бұрын
@UC-cuXojkaoATvG21be0s25w 0 x 3 + 1 = 1 And 1 x 3 + 1 = 4 then divide 4 by 2 it’s 2 then divide it again it’s 1 And yeah we’re stuck no matter how you try it
@One-Trick-Pony2 2 жыл бұрын
True
@Mango-rl2yg 2 жыл бұрын
This is really dumb 3x+1=3 because u plus the 0 with the 1 = 3x1 I hate math and dont know anything about it but i still clicked on this vid
@frightenedsoul 2 жыл бұрын
@@Mango-rl2yg huh?
@annac.6863 2 жыл бұрын
@@Mango-rl2yg if you meant 3x+1 where x=0, the result would, indeed be zero. Anything times zero is zero, meaning 3•0=0 From there, you add the one, giving you 1 as a result. My apologies if I misunderstood what you were trying to say! ❤️❤️❤️
@fysics5375 14 күн бұрын
You can say that y=2^x is a true solution, since that will always divide down to 1. Take all the whole answers to y=2^x, then try to find any numbers that lead into those using 3x+1. Then continue to extrapolate that out. Figure out if there are any excluded values. Working from the solution back I think would be faster.
@dewaard3301 Ай бұрын
I feel that the answer lies in a different representation of the natural numbers that kind of represent 'power of 2'-ness, and showing that that can never increase under the operations described.
@danielwitham1791 2 жыл бұрын
"use Benford's law for tax evasion" Got it
@ujjwal2473 2 жыл бұрын
next they'll invent another law for you to follow
@jackrobinson9403 2 жыл бұрын
Ffs even when you break the law you gotta follow other laws, huh? ):
@von... 2 жыл бұрын
@Soul Seeker appropriate name for someone who works at the IRS or on some other auditing team lmao
@von... 2 жыл бұрын
@@jackrobinson9403 I guess "only break one law at a time" spans between the laws of our society & the laws of mathematics lmao don't try to divide by 0 while smoking weed kids
@shamsandharia123 2 жыл бұрын
Most tax verification algorithms are having the same function in the root file patch 🤞
@Ali-Mhsn 2 жыл бұрын
I laughed when he said "one of the greatest mathematicians" and showed his his grinning into the camera
@jAYROCCS1x 2 жыл бұрын
?
@John-el5sv 2 жыл бұрын
@@jAYROCCS1x 12:36
@jAYROCCS1x 2 жыл бұрын
@@John-el5sv i see. thought he meant the guy frm the beginning.
@bill6687 2 жыл бұрын
"The world's greatest mathematician: myself"
@PureMagma 2 жыл бұрын
Humble-bragging or else it's a better way to subvert expectations before revealing truth! Terry Tao looks like someone who would appreciate the joke. 😅
@05DarkSaint 2 ай бұрын
1,2,4,8,16,32,64,128,256 So long as 3x+1 solves for a multiple of doubling, which will also go on to infinity, then so too must the equation
@darrenleung3684 2 ай бұрын
Schools need more material like this to inspire kids
@adityaagarwal6719 2 жыл бұрын
"Worlds Greatest living Mathematician" I see what you did there.
@chriswebster24 2 жыл бұрын
*there
@adityaagarwal6719 2 жыл бұрын
@@chriswebster24 thanks.. Noted!
@mistersunny3636 2 жыл бұрын
Ahaha! That sequence took me a second. Nice one! (12:33)
@emilpysenisoncrack420 2 жыл бұрын
Could I get some clarification?
@emilpysenisoncrack420 2 жыл бұрын
@Chinmaye Last name Well now it's obvious. Thanks
@dabolife1 2 жыл бұрын
Math problem no one can solve: Exists Me: Finally I'm not the only one who is bad at math.
@risav202 2 жыл бұрын
Not able to do a math problem, doesn't make you bad at math.
@therealitygab6074 2 жыл бұрын
@@risav202 please explain. i dont agree
@segmentsAndCurves 2 жыл бұрын
@@risav202 Nah.
@mjzudba5268 2 жыл бұрын
I literally just saw you on Nas Daily...
@TheDarkDresser 2 жыл бұрын
@@risav202 I assume that you're not referring to math in general, just a specific math problem. Those of us with dyscalculia find even basic math challenging, to say the least.
@frtzkng 3 ай бұрын
My first thought is, since all numbers which are a power of 2, so 2^n, end up as 1, wouldn't it be easier to rephrase the problem and try to prove (or disprove) that by applying 3n+1 if odd and n/2 if even, all primes eventually give a result that is 2^n?
@dustymiller65 22 күн бұрын
★ I love this math problem, it's like my life--difficult and unsolvable yet easy to live with if i purposely close my eyes. ❤️
@RiderGeats 2 жыл бұрын
Imagine being a Math Teacher and you gave an entire class an activity 1. Solve Collatz Conjecture 3x+1 (10 pts.)
@BrianHartman 2 жыл бұрын
The issue isn't solving it but proving it. :)
@brokenwingbird2552 2 жыл бұрын
It's not a problem, it is a pattern. There is no solution. This is literally the formula for how all life grows, 124875 this sequence repeats infinitely, with alternating "branches" of 36363636 also repeating infinitely.
@peregrina7701 2 жыл бұрын
I once had a professor set the proof of the Boltzmann equation on a midterm. That proof exists but for a nonmathematician/nonphysicist (I was studying materials science) it was a beast. The equation is s = k * ln (m). Looks simple doesn't it? That was twenty years ago and I'm still traumatized. Mad props to mathematicians.
@ItsSchwifty 2 жыл бұрын
Smart in class: *Gets 10pts*
@davidyansky6605 2 жыл бұрын
He/She would be barred from further teaching due to academic cruelty beyond comprehension.
@TheMusicalStylingsofBrentBunn 2 жыл бұрын
Mad respect to the animators here. That must've been a lot of work.
@michagiedrojc5513 2 жыл бұрын
And how much work on calculator.
@isidorregenfu9632 2 жыл бұрын
Looks like 3blue1brown's framework manim at work
@someidiot6067 2 жыл бұрын
i agree, but there are other people that have animators do even more like haminations (he's a story time animator)
@quyento9108 2 жыл бұрын
Someone's back is hurtt
@cissedeclercq5567 2 жыл бұрын
we do or best.
@JD_Mortal 2 ай бұрын
It's a quirk of base-10. Do it in base-8, base-3, base-40... and you get different, but similar results. It is the (division) and (+1), which is the secret to the quirk... Because (1/3) * (3) != 1... Go back to your "remainders", where they loop down to 1, with powers and +1. 4 + 2 + 1 = 7, which goes Even, Even, Odd, which cancels out the formula of halves and +1 by 3 units. Also, 4=3+1, and 2+1=3, (It's starting to look like the math formula itself.)
@jmodified 2 ай бұрын
It's the same in any number base or representation. You can use Roman Numerals if you want.
@extravagantpanda7962 2 ай бұрын
Base is irrelevant here. It is just the way we represent numbers in writing, but the actual relations between the numbers does not depend on the base. Think of the base as a language (e.g. German). If we translate a statement in German to, say, French, we are changing the representation we use to write the statement (the language), but the semantic meaning stays the same. Similarly, if we have some arithmetic expression written in base 10, then changing to base 2 only changes the written representation of the numbers and not the meaning of the expression.
@walkastray007 2 жыл бұрын
A couple of days ago he had a poll on what colour would evens and odds would be if they had a colour. The poll decided blue as even and red as odd. In this video, he has the evens as blues and the odds as reds. I love how much he cares about his community and the little details.
@InsideOutAnus 2 жыл бұрын
Good pickup!
@valval4145 2 жыл бұрын
Wow I did the poll a few seconds before scrolling to the video and this comment, I was wondering what the poll was for
@NandR 2 жыл бұрын
Good catch. I like the social experiment that is in itself. That is such an arbitrary question that it should be close to 50/50. But it seems something is tilting us one way. Is it nature or society?
@valval4145 2 жыл бұрын
@@NandR I was also thinking the same. Maybe people who prefer the color blue also prefer even numbers, or people who prefer the color red also prefer odds? Just a thought
@JS-jh4cy 2 жыл бұрын
What about color blind people, there choices may be just a valid, pick any of the two, for maybe they are different shades of the same color??
@PranavPandey 2 жыл бұрын
Your way of Explaining through Graphics is beautiful sir.
@thatoneguylol7342 2 жыл бұрын
@@icantlivewithoutnesquik2032 109 likes :/ Now its 321 likes lmao, You thought you could Make a good point there but you couldn't LOL
@knuckle12356 2 жыл бұрын
These types of graphics are the way I always visualized mathematics when in school. Being born in the early 80s, this kind of stuff wasn't available until near the end of my compulsory track. But I always saw the action taking place that the numbers described. Loved loved loved the advent of visual graphics integrated into mathematical teachings. Really shows how dynamic this stuff is.
@kyzee.2 2 жыл бұрын
@@icantlivewithoutnesquik2032 the lowest number is 1 meanwhile me learning more complex math that have negative numbers be like: bruhhhh
@ole86 2 жыл бұрын
3blue1brown: "Pff...."
@OnideusMadHatter 2 жыл бұрын
I'm 7 minutes in, why is the pacing in this video so terrible? This is just a simplified form of: momentum - gravity It's the most basic example of an equation that takes itself into consideration, because gravity continues to decrease the momentum over time. You could think of it as a temporal equation.
@azhagurajaallinall126 2 ай бұрын
Nice video as far 2:00 i see I have these numbers thoughts since school,goes back to when i learned mathematics to do in mind calculations & once learned formulae,started applied,looked for patterns Though i never formally write those down (maybe in school times,but i lost them) often feel about these, Maybe,maybe i gotta write them down,like some pattern in maths,numbers,look how far they can go,how it can be constant at certain point,arises new etc,,. I often think it may goes huge for calculations(let alone brain thinking) so i doesn't write them down Now i feel like write them down (though anyone sees it in future,see its absurdity) Maybe it helps me do "logical thinking,calculations easy" before i go wild thinking constantly (keep thinking)😅 Instead of avoiding,running over,gotta take care of it,grow myself,train enough to over power it (life hurdles,goals be like) Thank you so far (no time to see fully) Wish all be well 😃🌟✨🙌 21.02.2024 01:31am ist (77k+ comments,871k+ likes,38,625,062+1views)
@nobody-fe4gn 5 күн бұрын
I hate math when i was in school and college, but suddenly i found this channel and… i’m start to like math
@haxexd2830 2 жыл бұрын
"Pick a number" "- Seven?" "Seven? Good choise!" "- Looks Back Carefully"
@LaniPlayzRoblox 2 жыл бұрын
*choice
@keenjoaquin847 2 жыл бұрын
@@LaniPlayzRoblox *choise
@mrcrunch4635 2 жыл бұрын
@@keenjoaquin847 *chuse
@Uranium_chewer 2 жыл бұрын
@@LaniPlayzRoblox choes
@ahhblehh 2 жыл бұрын
@@mrcrunch4635 *cheese
@Free2Flay 2 жыл бұрын
Two things I learned from this video: 1. Mathematicians smile gratuitously in front of cameras. 2. Boring subjects become interesting when they're accompanied by animated graphs.
@DGill48 2 жыл бұрын
Two to the 68 power?? lots of time on their hands
@manswind3417 2 жыл бұрын
@@DGill48 Or maybe lots of mathematicians and machines in the world's hands?
@Matthewjames1016 2 жыл бұрын
Wait til you find out .9 and 1 are equal
@JaseHDX 2 жыл бұрын
3. wHy DoNt PeOpLe GiVe Me A cHaNcE oN yOuTuBe????!!???!!
@oxanamikki3326 2 жыл бұрын
are u saying math is boring
@oinvestigard Ай бұрын
All these numbers are beautiful, but nothing, but this one is weird, but possibily valuable.
@saifuusuri 2 жыл бұрын
This problem makes all my life problems seem like child's play. Kinda like having existential dread when you realize how large the universe is.
@Link-12 2 жыл бұрын
me to :p
@AnAnonymousMan 2 жыл бұрын
1k square miles ?
@king_james_official 2 жыл бұрын
@@AnAnonymousMan three, take it or leave it
@maxwellsequation4887 2 жыл бұрын
It makes me feel better when I realise that. Maybe you just have way too much undeserved ego.
@saifuusuri 2 жыл бұрын
@@maxwellsequation4887 When did I ever say it didn't do the same for me? I feel better too.
@Drux.i 2 жыл бұрын
I have never been someone who liked math during school, but for some reason I find it so completely interesting to learn about on my own time.
@ultraslanmc4619 2 жыл бұрын
cause you don’t have an exam and your future on it while watching this video, but at school, yes
@Drux.i 2 жыл бұрын
@@ultraslanmc4619 That's a very good point! No stress to learn it 😂
@odiltursunov6854 2 жыл бұрын
Actually i liked it at school. But it annoys me at school
@thelocalnecromancer1224 2 жыл бұрын
Same. Things are so much more interesting when you learn them on your own than when you learn them at school.
@Serpentis666 2 жыл бұрын
The yearn for understanding really seems to increase with age…
@rjkhatri6920 8 күн бұрын
This problem is very simple actually X+1 (X+1)*3 = 3X+ 3 (3x+4)/2 = 1.5x+ 0.75x+1 As long as “X” can be divided by 3 the loop doesn’t end
@seroujghazarian6343 Ай бұрын
I think the reason why this works is if we start with 1 and then apply the inverses of both rules and only leaving the integers, eventually, we can get all positive integers one way or another
@shiteshchourasia 2 жыл бұрын
The transition at 12.33 "World's greatest living mathematician ..." was so hilarious. Well played sir.. well played.
@karlmarx828 2 жыл бұрын
12:33
@blue_slime5776 2 жыл бұрын
Yeah It Got Me Laughing
@adityakrishnamalhotra1 2 жыл бұрын
@@karlmarx828 i love you 😩😩 My favourite capitalist
@dhruvalvyas3924 2 жыл бұрын
He said “ONE OF THE world’s greatest living Mathematician".
@giornogiovanna4602 2 жыл бұрын
It seriously doesn't take effort to write 12:33 But seeing your pfp it makes sense since its shikamaru
@DrTrefor 2 жыл бұрын
This is a delightful exploration of the Collatz Conjecture, thank you! I particularly liked just how pretty the visualizations become when you play with adding rotations for evens and odds.
@___vv___6474 2 жыл бұрын
You're videos are great sir I am glad to meet you But just for your kind information sir Almighty the chosen one can solve this problem but he don't have time we have to convince him
@DoiInthanon1897 2 жыл бұрын
As did I. Shedding light on a difficult topic is no easy feat.
@cemgecgel4284 2 жыл бұрын
What about rules like 1x+1 or 2x+1 or 4x+1 etc. Do they form loops?
@jorgepeterbarton 2 жыл бұрын
Its like somewhere in maths is every organic shape we thought made life somehow special, yet of course, life is biochemistry, its ruled by maths....yet maths is not so regular, so the often made philosophical presumption is that maths produces mechanistic outcomes, when it doesn't. Contingent complexity is one thing though, and hard problems like consciousness are another, but at least philosophically there is some descriptor of aesthetic natural beauty in a way. A way where we can look at the whole like we can a histogram but not make a rule of its parts, like an equation. Such as, those who also presume to quantify art, or say it is relativistic- even from a mathematical pure materialistic sense it has to be neither, but changing quality depending on which level is observed.
@___vv___6474 2 жыл бұрын
@@cemgecgel4284 actually not worthy I tried all of them but 3x+1 do best job And 3x-1 if you take negative numbers
@alexanderstohr4198 6 күн бұрын
15:55 - number of perfect squares in a base set: 100: 10% 1000: 3.1% - but we are talking on squares and their likeliness shrinks quadratically... so for a honest comparison lets do this: 3.1*3.1 = 9.61 - the fraction difference is supposed to be caused by the finite nature of integer value granularity. counter check: square root of 10 = 3,16227766...
@RILEYMCGILLOWAY Ай бұрын
Great work
@weedy_yeast 2 жыл бұрын
I think a lot of us clicked on this video thinking: *”oh it can’t be that hard”* edit: Jesus I didn’t post this comment so ppl could just argue in the replies. It was supposed to be a joke
@mlpfanboy1701 2 жыл бұрын
Its only hard to find if you only work with whole numbers, at least assuming thats how mixed numbers would work Never mind a simple search says decimals cant be odd or even only integers, so yes it is that hard
@Auromaxis 2 жыл бұрын
@@mlpfanboy1701 i just solved this lol
@zenixx_168 2 жыл бұрын
@@Auromaxis what is it?
@EchoYoutube 2 жыл бұрын
It’s easy, 0.
@Dragon_Mawce 2 жыл бұрын
@@Auromaxis ?
@colebrew 2 жыл бұрын
"Pick a number" -"Uh seven?" "Seven? Good choise!" -"WHAT THE-"
@JosephAR513 2 жыл бұрын
BRO😂😂
@Fixis 2 жыл бұрын
Everyone chooses 7 cause 7 wins everytime lol
@Byokie1 2 жыл бұрын
SAME
@DaisyCoreXD 2 жыл бұрын
Lol same
@sunset_anything1875 2 жыл бұрын
I think it’s 3
@borzica 11 күн бұрын
I’ve actually always thought about this 4-2-1 loop and never knew there was a name for it. I always thought I was too dumb to figure it out.
@residentenigma7141 Ай бұрын
These people have too much time on their hands... And the power to them !
@Martdogg3000 2 жыл бұрын
I like the amount of people who didn't watch the video for even a moment, and are just here talking about how easy it is to solve 3x+1.
@DeadAzz2 2 жыл бұрын
You take my words from my mind :))
@ItsMe-gw4kb 2 жыл бұрын
I watched it up to 20:57, and had a couple of thoughts along the way. First off, I hit the loop quickly because my chosen number is 4. My thoughts were that this could be considered an exercise in looking at every possible angle of a situation, which both has practical applications, and seems likely to sharpen the analytical way of thinking -- or likely to be frustrating because there is no clear answer other than the loop, without finding an alternate path. A good brain exercise, no question. Second, while looking at the visual ways to consider this, since I'm an occasional artist, I thought mapping it would be a great way to create some drawings or paintings and either add to them, based on what I saw, or call them finished. Either way, it's great for stimulating the mind. And if anyone chose to read all this, it's also fun to think about.
@beauxsmith674 2 жыл бұрын
12
@hasselbecksucks 2 жыл бұрын
The video is 20 minutes. LoL. Of course they not going to watch it.
@GnarlsMSMREAL 2 жыл бұрын
It's 4
@vgrants1717 2 ай бұрын
In theory, all times that the # will go down to the 4,2,1 loop is when the number is 2^x. Using that as a starting point, you could find a trend in how long it takes the number to hit 2^x. Smaller even # have an advantage because the numbers from 2^x are more concentrated there. Another thing is that the +1 is the only thing that makes sure that you don’t get into a different loop. The blend of addition and multiplication creates an annoying “randomness”.
@fos1451 Ай бұрын
Without the +1 it will keep being an odd number
@jetstreamsam9580 2 жыл бұрын
The class: 3+5 The homework: 3 times the square root of 4 The exam:
@drawingtutorials7296 2 жыл бұрын
Exactly we go over short division then the exam is like (2a+1b)/10 the times by 10
@kassimasinia3314 2 жыл бұрын
For real the homework and class work are like 3 x 2 and the test is like calculate the diameter of the sun and multiply it by the amount of water molecules are in a single bottle of water.
@Smdday._ 2 жыл бұрын
Homework equals 6🕺🏾
@HorrorGirl-tb2yo 2 жыл бұрын
@@Smdday._ Dang it! I was gonna say that!😂
@krayon1034 2 жыл бұрын
The answer is six
@user-cp8dg6uq2j 3 ай бұрын
By the way, the difference between the numbers we've calculated for the 3x+1 conjecture and haselgrove who solved the Pólya conjecture is the same as the difference between a planck length and 1.837869×10^231 Universes
@RINO_POACHERPATRIOT 2 ай бұрын
Such a great video.
@0oJMPo0 2 жыл бұрын
"The simplest math problem no one can solve" My math professor: oh, looks perfect for the exam!
@rohangupta3363 2 жыл бұрын
🤗 congrats on 300 likes
@Phantom-el6oe 2 жыл бұрын
It can be solved. Edit: So apparently this is an algorithm, so in this case: f(x)={1;2;3;4} or f(x)=[4;1] (those are random numbers, not a solution). This is the correct way to solve problem like this, which is what you learn in algebra classes There is always a solution in math, except you need to write it differently than x=7. Also, if there isn't any possible solution (like delta of an angle being less than zero), then you simply write "no answer" and close the case
@destros6576 2 жыл бұрын
@@Phantom-el6oe ?
@organizedmicrowave4414 2 жыл бұрын
@@Phantom-el6oe He's not doing an exam, are u dumb?
@salimkibria6955 2 жыл бұрын
@@Phantom-el6oe but u cant actually do that
@cryofrostrs3856 2 жыл бұрын
I love on how people immediately pointed their fingers to the Soviets for an unsolvable problem
@toolaazy 2 жыл бұрын
I go to Confucius
@YOUNOTSMART 2 жыл бұрын
@@toolaazy And Confucius says
@anmoldeepsingh9281 2 жыл бұрын
@@YOUNOTSMART I am confusion, this is kansas, why this arkansoo, america eggsplain
@YOUNOTSMART 2 жыл бұрын
@@anmoldeepsingh9281 😭😂🤣😭😂🤣
@johnjonjhonjonathanjohnson3559 2 жыл бұрын
@@YOUNOTSMART no more numbers jumping on the graph
@danmcconnell5941 Ай бұрын
It’s a nonlinear dynamical system with a point attractor. It perhaps even describes the heat death of the universe. Conway’s game of life is a simple example.
@koreanstallion 24 күн бұрын
I 've been waiting to get struck by a lightening and receive the answers in my singed head. I will let yo u know. Great video!
@kotokrabs 2 жыл бұрын
13:55 - my face when started watching this video 18:05 - my face in process of watching
@nubraofficial2345 2 жыл бұрын
Ooh 16 likes. I bet it will be 2K before 24 hours.
@Ssss-ve6ym 2 жыл бұрын
😂🤣 I don't know why I clicked on this video but im glad I did because I saw this comment
@makelelemakelele 2 жыл бұрын
I can't stop laughing at this =D
@aleaf. 2 жыл бұрын
here before this blows up lol
@Ssss-ve6ym 2 жыл бұрын
@@aleaf. same
@abdullahalfahadtopu4273 2 жыл бұрын
"Mathematicians have tested all the numbers in 2^68" Me: "Welp, time to start from (2^68)+1."
@RussianWhales 2 жыл бұрын
Wait what if i choose *pie*
@gavinwaterman3483 2 жыл бұрын
@@RussianWhales it has to be an integer. Pie is not an integer
@sy-2 2 жыл бұрын
pi*
@theodriggers549 2 жыл бұрын
@@gavinwaterman3483 That’s not true
@DontYouDareToCallMePolisz 2 жыл бұрын
@@notyou5557 better approximation is 355/113
@basje_b Ай бұрын
15:09 - if you count 3x-1 on the negative side you do get the same 'tree' (mirrored) as the one on the positive side...
@austinneilson2870 7 күн бұрын
-10,-5,-14,-7,-20 and -2,-1are both loops that I have found as results of starting negative.
@sammcdonald4 2 жыл бұрын
Shows a picture of himself. “One of the world’s greatest mathematicians…Terry Tao” Then includes Terry. Lol
@GummieI 2 жыл бұрын
Yeah that was so good
@syedfaisal9544 2 жыл бұрын
😂, That's was funny , He's also good scientist tooo
@dreamer097 2 жыл бұрын
12:33
@Cube_Box 2 жыл бұрын
@@dreamer097 thanks
@rgmjr 2 жыл бұрын
Haha. I came to look for this. Haha.
@lovepuma6625 2 жыл бұрын
".....that not even the world's best mathematicians have been able to solve. " Me : "Alright, tell what it is, maybe i can solve it. "
@captaincool9636 2 жыл бұрын
I think it's just 10
@MP-ut6eb 2 жыл бұрын
@@captaincool9636 42. The answer is 42.
@NamidaCho 2 жыл бұрын
@@MP-ut6eb no not at all
@gbsantana9679 2 жыл бұрын
@@MP-ut6eb no, you don't know the answer if the best mathematicians don't know it. You're not that guy buddy
@MP-ut6eb 2 жыл бұрын
@@gbsantana9679 its meme my friend. Its a meme.
Why greatest Mathematicians are not trying to prove Riemann Hypothesis? || #short #terencetao #maths
Me Asthmatic_M@thematics.
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